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Finding the Third Proportional to 60,898,448 and 142,101,176

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Solution

The third proportional to 60,898,448 and 142,101,176 is: 331,580,604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,898,448 : 142,101,176 = 142,101,176 : x
  2. Step 2: Convert to fraction form
    60,898,448/142,101,176 = 142,101,176/x
  3. Step 3: Cross multiply
    60,898,448x = 142,101,176 × 142,101,176
  4. Step 4: Simplify right side
    60,898,448x = 20,192,744,220,582,976
  5. Step 5: Solve for x
    x = 20,192,744,220,582,976/60,898,448
  6. Step 6: Final answer
    x = 331,580,604.82

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.